This module is the continuation of the Calculus I-II modules. The aim of the module, apart from motivating and challenging the students, is to introduce them at a basic level to selected topics in undergraduate calculus. The possible topics do not strongly build on each other and so the level of this module is not harder than the previous ones, although some new concepts will be introduced. Possible topics include: rigorous treatment of limits, continuity and derivatives, Taylor- and Fourier series, calculus of variations, Lagrangian dynamics, multivariable calculus, complex integrals, higher order differential equations, partial differential equations, etc. The actual material will be determined based on the interest of the audience. This module is recommended for students with a strong interest in mathematics.